Solar Filter Calculator
Size a solar filter for safe sun observation and estimate solar image size and cost by filter type.
About this calculator
This calculator sizes a full-aperture solar filter for a telescope and estimates the resulting solar image size and rough cost. Filter diameter is set from telescope aperture plus about 12 mm of mounting-ring clearance so the filter cell covers the entire front opening -- a solar filter must fully cover the aperture with no gaps, since even a small unfiltered opening lets through enough concentrated sunlight to cause permanent eye damage or instant blindness if viewed through an eyepiece. Solar image size at the focal plane depends only on focal length, using the Sun's roughly 0.53-degree angular diameter (about 9.3 mm of image per 1,000 mm of focal length) -- aperture and filter type have no effect on how large the Sun's disk appears in the image.
Cost is estimated per millimeter of aperture and varies enormously by filter type: economical glass (ND5, roughly neutral density 100,000x) and film (Baader AstroSolar) filters cost a small fraction of a dedicated hydrogen-alpha (H-alpha) filter, which uses a narrow-bandwidth etalon to reveal prominences and chromospheric detail invisible in plain white-light filters. All three filter types are safe for direct solar viewing only when properly fitted and free of scratches, pinholes, or tears -- inspect any filter before each use and retire film filters that show any damage.
Inputs
Results
Filter Diameter
215 mm
≈ 3 credit cards
Est. Cost
$508.00
≈ 9 tanks of gas
How to Use This Calculator
- Enter Telescope Aperture (in), Focal Length (mm), and Filter Type.
- Review Filter Diameter (mm) and Est. Cost ($).
- Use Solar Image Size (mm) and Safety Rating to inform your decision.
- Use the chart to visualize the results and explore different scenarios by adjusting inputs.
How the result changes with Telescope Aperture (in)
| Telescope Aperture (in) | Filter Diameter | Est. Cost |
|---|---|---|
| 4 | 114 mm | $254.00 |
| 6 | 164 mm | $381.00 |
| 12 | 317 mm | $762.00 |
| 20 | 520 mm | $1,270.00 |
What each input means
- Telescope Aperture (in)
- Diameter of your telescope's primary mirror or lens in inches
- Focal Length (mm)
- Focal length of your telescope in millimeters
- Filter Type
- Filter material and construction determine safety margin, image color, and cost per millimeter of aperture.
What each result means
- Safety Rating
- Relative safety margin of this filter type when properly fitted over the full aperture with no gaps.
How this is calculated
Worked example, using the default values
- Identify Input ParametersTelescope Aperture (in) = 8, Focal Length (mm) = 1200, Filter Type = 1 = 3 input(s) provided
- Calculate Filter DiameterFilter Diameter215 = 215
- Calculate Solar Image SizeSolar Image Size11.2 = 11.2
- Calculate SafetySafetyExcellent (ND5, ~100,000x attenuation) = Excellent (ND5, ~100,000x attenuation)
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does filter type affect cost so much more than telescope aperture?
The estimated cost per millimeter of aperture varies enormously across the three filter types -- H-alpha etalon filters cost many times more per millimeter than glass or film white-light filters because they use a narrow-bandwidth optical assembly rather than a simple neutral-density coating. That per-millimeter cost difference between filter types outweighs the effect of changing aperture within a typical amateur telescope's range, which is why filter type is the dominant driver of total estimated cost here.
Why doesn't filter type change the filter diameter I need?
Filter diameter is set purely by how much clearance the mounting cell needs to fully cover your telescope's aperture, regardless of what filter material sits inside that cell. A larger telescope always needs a larger-diameter filter cell whether you choose glass, film, or H-alpha, so aperture -- not filter type -- is what determines the diameter figure.
Why does the solar image size only depend on focal length?
The Sun subtends a nearly fixed angular size of about 0.53 degrees as seen from Earth, so the physical size of its image at the focal plane is set entirely by the telescope's focal length through simple angular geometry -- roughly 9.3 mm of image per 1,000 mm of focal length. Aperture affects how much light and detail you gather, not how large the disk appears in the frame.
Is a film filter as safe as a glass or H-alpha filter?
Baader AstroSolar film is rated safe for direct visual and photographic solar observation when properly mounted with no gaps, tears, or pinholes, similar to a glass ND5 filter. The main practical differences are durability and image tint (film is more delicate and can develop pinholes over years of handling) rather than a fundamental safety gap -- any full-aperture filter must be inspected before each use regardless of material.
Can I combine a white-light filter with an eyepiece filter instead of a full-aperture filter?
No -- a full-aperture (front-mounted) filter is required for safe solar observation because it blocks concentrated sunlight before it enters and heats the telescope's optics. A small filter threaded onto an eyepiece sits after the telescope has already focused and concentrated the Sun's heat and light, and can crack or fail from that heat buildup, causing sudden unfiltered exposure -- this is a well-documented cause of solar-observing eye injuries.
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